An explicit wave based model as alternative to the DtN map for solving unbounded Helmholtz problems with the finite element method

DOI10.1016/j.enganabound.2014.11.025zbMath1403.76039OpenAlexW2027736058WikidataQ108933502 ScholiaQ108933502MaRDI QIDQ1654667

Dirk Vandepitte, Wim Desmet, Bert Van Genechten, Elke Deckers, Bart Bergen

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/466360

zbMATH Keywords

finite element methodDirichlet-to-Neumann mapwave based methodHelmholtz problemsunbounded problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

The stable node-based smoothed finite element method for analyzing acoustic radiation problems ⋮ Topology optimization of bounded acoustic problems using the hybrid finite element-wave based method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trefftz-based methods for time-harmonic acoustics
• Perfectly matched layers for time-harmonic second order elliptic problems
• A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations
• Exact non-reflecting boundary conditions
• Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains
• Finite element analysis of acoustic scattering
• A perfectly matched layer for the absorption of electromagnetic waves
• Inverse acoustic and electromagnetic scattering theory.
• The wave based method: an overview of 15 years of research
• Prolate and oblate spheroidal acoustic infinite elements
• Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
• On nonreflecting boundary conditions
• A Trefftz based method for solving Helmholtz problems in semi-infinite domains
• Optimizing the perfectly matched layer
• High-order local non-reflecting boundary conditions: a review
• High-order local absorbing conditions for the wave equation: Extensions and improvements
• A Coupled Finite Element–Wave Based Approach for the Steady-State Dynamic Analysis of Acoustic Systems
• An Efficient Trefftz-Based Method for Three-Dimensional Helmholtz Problems in Unbounded Domains
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Mapped Wave Envelope Elements for Acoustical Radiation and Scattering

This page was built for publication: An explicit wave based model as alternative to the DtN map for solving unbounded Helmholtz problems with the finite element method